{"id":1454,"date":"2023-07-26T08:06:29","date_gmt":"2023-07-26T08:06:29","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%82%a6%e8%b4%b9%e7%bd%97%e5%b0%bc%e6%a0%a1%e6%ad%a3\/"},"modified":"2023-07-26T08:06:29","modified_gmt":"2023-07-26T08:06:29","slug":"%e9%82%a6%e8%b4%b9%e7%bd%97%e5%b0%bc%e6%a0%a1%e6%ad%a3","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%82%a6%e8%b4%b9%e7%bd%97%e5%b0%bc%e6%a0%a1%e6%ad%a3\/","title":{"rendered":"Bonferroni \u6821\u6b63\uff1a\u5b9a\u4e49\u548c\u793a\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u6bcf\u5f53\u6267\u884c<\/span><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u5b66\u4ee5\u7b80\u5355\u76f4\u63a5\u7684\u65b9\u5f0f\u89e3\u91ca\u6982\u5ff5\uff0c\u6211\u4eec\u4f7f\u5b66\u4e60\u7edf\u8ba1\u53d8\u5f97\u66f4\u5bb9\u6613\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5047\u8bbe\u68c0\u9a8c<\/a>\u65f6\uff0c\u603b\u662f\u5b58\u5728\u72af\u7b2c\u4e00\u7c7b\u9519\u8bef\u7684\u98ce\u9669\u3002\u8fd9\u662f\u5f53\u4f60\u62d2\u7edd\u96f6\u5047\u8bbe\u800c\u5b83\u5b9e\u9645\u4e0a\u662f\u6b63\u786e\u7684\u65f6\u5019\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u6709\u65f6\u79f0\u5176\u4e3a\u201c\u5047\u9633\u6027\u201d\u2014\u2014\u5f53\u6211\u4eec\u58f0\u79f0\u5b58\u5728\u7edf\u8ba1\u4e0a\u663e\u7740\u7684\u5f71\u54cd\u65f6\uff0c\u800c\u5b9e\u9645\u4e0a\u5e76\u4e0d\u5b58\u5728\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u8fdb\u884c\u5047\u8bbe\u68c0\u9a8c\u65f6\uff0cI \u7c7b\u9519\u8bef\u7387\u7b49\u4e8e\u663e\u7740\u6027\u6c34\u5e73\uff08\u03b1\uff09\uff0c\u901a\u5e38\u9009\u62e9 0.01\u30010.05 \u6216 0.10\u3002\u7136\u800c\uff0c\u5f53\u6211\u4eec\u540c\u65f6\u8fd0\u884c\u591a\u4e2a\u5047\u8bbe\u68c0\u9a8c\u65f6\uff0c\u5f97\u5230\u5047\u9633\u6027\u7684\u53ef\u80fd\u6027\u5c31\u4f1a\u589e\u52a0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u540c\u65f6\u8fd0\u884c\u591a\u4e2a\u5047\u8bbe\u68c0\u9a8c\u65f6\uff0c\u6211\u4eec\u5fc5\u987b\u5904\u7406\u6240\u8c13\u7684<strong>\u5bb6\u65cf\u9519\u8bef\u7387<\/strong>\uff0c\u5373\u81f3\u5c11\u5176\u4e2d\u4e00\u9879\u68c0\u9a8c\u4ea7\u751f\u8bef\u62a5\u7684\u6982\u7387\u3002\u8fd9\u53ef\u4ee5\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6bcf\u4e2a\u65cf\u7684\u9519\u8bef\u7387 = 1 \u2013 (1-\u03b1) <sup>n<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03b1\uff1a<\/strong>\u5355\u4e2a\u5047\u8bbe\u68c0\u9a8c\u7684\u663e\u7740\u6027\u6c34\u5e73<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6d4b\u8bd5\u603b\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u4f7f\u7528 \u03b1 = 0.05 \u6267\u884c\u5355\u4e2a\u5047\u8bbe\u68c0\u9a8c\uff0c\u5219\u72af I \u7c7b\u9519\u8bef\u7684\u6982\u7387\u4ec5\u4e3a 0.05\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bcf\u4e2a\u65cf\u7684\u9519\u8bef\u7387 = 1 \u2013 (1-\u03b1) <sup>c<\/sup> = 1 \u2013 (1-.05) <sup>1<\/sup> = <strong>0.05<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u540c\u65f6\u6267\u884c\u4e24\u4e2a\u5047\u8bbe\u68c0\u9a8c\u5e76\u4e3a\u6bcf\u4e2a\u68c0\u9a8c\u4f7f\u7528 \u03b1 = 0.05\uff0c\u5219\u51fa\u73b0 I \u7c7b\u9519\u8bef\u7684\u6982\u7387\u4f1a\u589e\u52a0\u5230 0.0975\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bcf\u4e2a\u65cf\u7684\u9519\u8bef\u7387 = 1 \u2013 (1-\u03b1) <sup>c<\/sup> = 1 \u2013 (1-.05) <sup>2<\/sup> = <strong>0.0975<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u540c\u65f6\u8fd0\u884c\u4e94\u4e2a\u5047\u8bbe\u68c0\u9a8c\uff0c\u6bcf\u6b21\u68c0\u9a8c\u4f7f\u7528 \u03b1 = 0.05\uff0c\u90a3\u4e48\u6211\u4eec\u72af I \u7c7b\u9519\u8bef\u7684\u6982\u7387\u5c31\u4f1a\u589e\u52a0\u5230 0.2262\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bcf\u4e2a\u65cf\u7684\u9519\u8bef\u7387 = 1 \u2013 (1-\u03b1) <sup>c<\/sup> = 1 \u2013 (1-.05) <sup>5<\/sup> = <strong>0.2262<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f88\u5bb9\u6613\u770b\u51fa\uff0c\u968f\u7740\u7edf\u8ba1\u6d4b\u8bd5\u6570\u91cf\u7684\u589e\u52a0\uff0c\u81f3\u5c11\u5176\u4e2d\u4e00\u4e2a\u6d4b\u8bd5\u72af\u7b2c\u4e00\u7c7b\u9519\u8bef\u7684\u6982\u7387\u4f1a\u8fc5\u901f\u589e\u52a0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u89e3\u51b3\u6b64\u95ee\u9898\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u4f7f\u7528 Bonferroni \u6821\u6b63\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4ec0\u4e48\u662f\u90a6\u8d39\u7f57\u5c3c\u6821\u6b63\uff1f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Bonferroni \u6821\u6b63<\/strong>\u662f\u6307\u8c03\u6574\u4e00\u7cfb\u5217\u7edf\u8ba1\u68c0\u9a8c\u7684 alpha (\u03b1) \u6c34\u5e73\u4ee5\u63a7\u5236\u51fa\u73b0 I \u7c7b\u9519\u8bef\u7684\u6982\u7387\u7684\u8fc7\u7a0b\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bonferroni \u6821\u6b63\u7684\u516c\u5f0f\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u03b1<sub>\u65b0<\/sub><\/strong>= \u03b1<sub>\u539f\u59cb<\/sub>\/ n<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><sub>\u539f\u59cb<\/sub>\u03b1\uff1a\u539f\u59cb\u03b1\u6c34\u5e73<\/span><\/li>\n<li><span style=\"color: #000000;\">n\uff1a\u6267\u884c\u7684\u6bd4\u8f83\u6216\u6d4b\u8bd5\u7684\u603b\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u540c\u65f6\u8fd0\u884c\u4e09\u4e2a\u7edf\u8ba1\u6d4b\u8bd5\u5e76\u5e0c\u671b\u6bcf\u6b21\u6d4b\u8bd5\u90fd\u4f7f\u7528 \u03b1 = 0.05\uff0c\u5219 Bonferroni \u6821\u6b63\u544a\u8bc9\u6211\u4eec\u5e94\u8be5\u4f7f\u7528 \u03b1 <sub>new<\/sub> = <strong>0.01667<\/strong> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03b1<sub>\u65b0<\/sub>= \u03b1<sub>\u539f\u59cb<\/sub>\/ n = 0.05 \/ 3 = 0.01667<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u5982\u679c\u68c0\u9a8c\u7684 p \u503c\u5c0f\u4e8e 0.01667\uff0c\u6211\u4eec\u53ea\u5e94\u62d2\u7edd\u6bcf\u4e2a\u5355\u72ec\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bonferroni \u6821\u6b63\uff1a\u793a\u4f8b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u4e00\u4f4d\u6559\u6388\u60f3\u77e5\u9053\u4e09\u79cd\u4e0d\u540c\u7684\u5b66\u4e60\u6280\u5de7\u662f\u5426\u4f1a\u5bfc\u81f4\u5b66\u751f\u7684\u8003\u8bd5\u6210\u7ee9\u4e0d\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u5979\u968f\u673a\u5206\u914d 30 \u540d\u5b66\u751f\u4f7f\u7528\u6bcf\u79cd\u5b66\u4e60\u6280\u5de7\u3002\u5728\u4f7f\u7528\u6307\u5b9a\u7684\u5b66\u4e60\u6280\u5de7\u4e00\u5468\u540e\uff0c\u6bcf\u4e2a\u5b66\u751f\u90fd\u4f1a\u53c2\u52a0\u76f8\u540c\u7684\u8003\u8bd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\uff0c\u5979\u6267\u884c<a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a>\uff0c\u53d1\u73b0\u603b\u4f53 p \u503c\u4e3a<strong>0.0476<\/strong> \u3002\u7531\u4e8e\u8be5\u6570\u5b57\u5c0f\u4e8e 0.05\uff0c\u5979\u62d2\u7edd\u5355\u5411\u65b9\u5dee\u5206\u6790\u7684\u96f6\u5047\u8bbe\uff0c\u5e76\u5f97\u51fa\u7ed3\u8bba\uff0c\u6bcf\u79cd\u5b66\u4e60\u6280\u672f\u4e0d\u4f1a\u4ea7\u751f\u76f8\u540c\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u627e\u51fa<em>\u54ea\u4e9b<\/em>\u5b66\u4e60\u65b9\u6cd5\u80fd\u4ea7\u751f\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u7684\u5206\u6570\uff0c\u5979\u6267\u884c\u4e86\u4ee5\u4e0b\u6210\u5bf9 t \u68c0\u9a8c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6280\u672f 1 \u4e0e\u6280\u672f 2<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6280\u672f 1 \u4e0e\u6280\u672f 3<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6280\u672f 2 \u4e0e\u6280\u672f 3<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5979\u5e0c\u671b\u5c06\u72af I \u7c7b\u9519\u8bef\u7684\u6982\u7387\u63a7\u5236\u5728 \u03b1 = 0.05\u3002\u7531\u4e8e\u5979\u540c\u65f6\u6267\u884c\u591a\u4e2a\u6d4b\u8bd5\uff0c\u56e0\u6b64\u5979\u51b3\u5b9a\u5e94\u7528 Bonferroni \u6821\u6b63\u5e76\u4f7f\u7528<\/span><span style=\"color: #000000;\">\u03b1 <sub>new<\/sub> = <strong>.01667<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><sub>\u65b0<\/sub>\u03b1 =<sub>\u539f\u59cb<\/sub>\u03b1 \/ n = 0.05 \/ 3 = 0.01667<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\uff0c\u5979\u5bf9\u6bcf\u7ec4\u8fdb\u884c T \u68c0\u9a8c\u5e76\u53d1\u73b0\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6280\u672f 1 \u4e0e\u6280\u672f 2 | p \u503c = 0.0463<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6280\u672f 1 \u4e0e\u6280\u672f 3 | p \u503c = 0.3785<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6280\u672f 2 \u4e0e\u6280\u672f 3 | p \u503c = 0.0114<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6280\u672f 2 \u4e0e\u6280\u672f 3 \u7684 p \u503c\u662f\u552f\u4e00\u5c0f\u4e8e 0.01667 \u7684 p \u503c\uff0c\u56e0\u6b64\u5979\u5f97\u51fa\u7ed3\u8bba\uff0c\u6280\u672f 2 \u548c\u6280\u672f 3 \u4e4b\u95f4\u4ec5\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p>Bonferroni \u6821\u6b63\u8ba1\u7b97\u5668<br \/><a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u7684-bonferroni-\u6821\u6b63\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Bonferroni \u6821\u6b63<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6bcf\u5f53\u6267\u884c\u5047\u8bbe\u68c0\u9a8c\u65f6\uff0c\u603b\u662f\u5b58\u5728\u72af\u7b2c\u4e00\u7c7b\u9519\u8bef\u7684\u98ce\u9669\u3002\u8fd9\u662f\u5f53\u4f60\u62d2\u7edd\u96f6\u5047\u8bbe\u800c\u5b83\u5b9e\u9645\u4e0a\u662f\u6b63\u786e\u7684\u65f6\u5019\u3002 \u6211\u4eec\u6709\u65f6\u79f0\u5176\u4e3a\u201c\u5047 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1454","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Bonferroni \u6821\u6b63\uff1a\u5b9a\u4e49\u548c\u793a\u4f8b<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u63d0\u4f9b\u4e86 Bonferroni \u6821\u6b63\u7684\u8bf4\u660e\uff0c\u5305\u62ec\u516c\u5f0f\u548c\u51e0\u4e2a\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/\u90a6\u8d39\u7f57\u5c3c\u6821\u6b63\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta 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